P5/P6 Math: TRUE or FALSE or NOT POSSIBLE TO TELL?

Questions such as these are common in P5 and P6 Paper 1.

Students are required to use arithmetic and logic and knowledge of specific topics such as "average" in order to be able to fill in the boxes with the correct ticks.

Calculator usage is not allowed.


Jennifer, Kate and Lena have an average of 30 hairbands.
Each of them have some but different number of hairbands.
Lena has 50 hairbands.

Put a tick in the correct boxes.

StatementsTRUEFALSENOT POSSIBLE
TO TELL
Jennifer has 20 hairbands


Kate & Lena have 90 hairbands altogether



Exquisite Bejeweled Hairband


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P5/P6 Math: Angles in Triangles and Square Overlapping

Learning Angles begins in P3 where students learn that the right-angle exists in squares and rectangles and in between 2 perpendicular lines.

Once they reach P5, the students will learn more about triangles and parallel lines (within 4-sided figures).

Such questions involving both squares and triangles in a figure will require several rules(concepts) in order to find out the angle needed.

A "set square" is actually a "triangle"




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P3/P4 Math: Before and After Model (Reverse Model Drawing)

With problem sums getting more complex as student progresses from P3 to P4, it will be difficult for the students to read the question and be able to draw the models required.

Hence, the "Reverse Model Drawing" method.

This method allows them to see the models first, and use it to decipher the question being asked instead.

With this approach, the student get to see the models already drawn and use it to fill up the gaps in the question being asked.

Once students have sufficient practice, they will be able to read the question and draw the comparison models independently.


Uno Reverse Cards



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P6 Math: Overlapping Shapes with Ratios

The following question presents 2 shapes that are overlapping each other.

Such overlapping shapes questions often appear in P6 Paper 2.
Calculator usage is allowed.



The comparison of each whole shape's area with another is respresented using a ratio.
The ratio of the are that is not overlapping each other is also provided.


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Diagram may not be drawn to scale


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P6 Math: Fraction of one is more than Fraction of another

This question compares a fraction of one value with a fraction of another.

The difference between the 2 fractions of different totals and their total are values that are given.

Such questions are common in Paper 2 for P6 mid year exams.
Calculator usage is allowed.

Alfie and Brad spent a total of $802 at the arcade.
1/4 of the amount that Alfie spent was $41 more than 1/7 of what Brad spent.

How much more did Brad spend than Alfie?



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P5/P6 Math: Comparing Fractions with a Whole Number

Being able to compare fractions requires quite a few skills.


- Comparing with "HALF"
- Comparing with "ONE WHOLE"
- Comparing Numerators when "DENOMINATORS ARE THE SAME"
- Comparing Denominators when "NUMERATORS ARE THE SAME"

The following question requires students to be able to compare 4 fractions with a whole number to determine which is the nearest fraction.

The key to find correct nearest/closest fraction is by looking at the "difference" or the "gap"

Such questions appear in Paper 1.
Calculator usage is not allowed.


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P4/P5 Math: Before and After Age ( Multiples given at First and Total give at the End)

Such questions about age, requires students to understand that the age gap remains constant (ie constant difference) and that both ages need to add (or subtract) the same amount when talking about the number of years to the future (or the past).

A comparison using multiples will be given at first.
A total of the sum of the ages is also provided at the end (either a few years into the future or to the past).

Such "before and after" questions usually appear in Section C of P4 and Paper 1 of P5.
Calculator usage is not allowed (for P5).

Similar questions such as this(but not dealing with age) can also be found "here".

Ben is thrice as old as Alan now.
In 3 years time, Ben and Alan have a total combined age of 54.

How old is Ben now?



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